MySQL 5.6.14 Source Code Document
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Macros Groups Pages
Public Types | Public Member Functions | List of all members
TaoCrypt::EuclideanDomainOf Class Reference
Inheritance diagram for TaoCrypt::EuclideanDomainOf:
Inheritance graph
[legend]
Collaboration diagram for TaoCrypt::EuclideanDomainOf:
Collaboration graph
[legend]

Public Types

typedef Integer Element
- Public Types inherited from TaoCrypt::AbstractEuclideanDomain
typedef Integer Element
- Public Types inherited from TaoCrypt::AbstractRing
typedef Integer Element
- Public Types inherited from TaoCrypt::AbstractGroup
typedef Integer Element

Public Member Functions

bool Equal (const Element &a, const Element &b) const
const Element & Identity () const
const Element & Add (const Element &a, const Element &b) const
Element & Accumulate (Element &a, const Element &b) const
const Element & Inverse (const Element &a) const
const Element & Subtract (const Element &a, const Element &b) const
Element & Reduce (Element &a, const Element &b) const
const Element & Double (const Element &a) const
const Element & MultiplicativeIdentity () const
const Element & Multiply (const Element &a, const Element &b) const
const Element & Square (const Element &a) const
bool IsUnit (const Element &a) const
const Element & MultiplicativeInverse (const Element &a) const
const Element & Divide (const Element &a, const Element &b) const
const Element & Mod (const Element &a, const Element &b) const
void DivisionAlgorithm (Element &r, Element &q, const Element &a, const Element &d) const
- Public Member Functions inherited from TaoCrypt::AbstractEuclideanDomain
virtual const Element & Gcd (const Element &a, const Element &b) const
- Public Member Functions inherited from TaoCrypt::AbstractRing
 AbstractRing (const AbstractRing &source)
AbstractRing & operator= (const AbstractRing &source)
virtual Element Exponentiate (const Element &a, const Integer &e) const
virtual Element CascadeExponentiate (const Element &x, const Integer &e1, const Element &y, const Integer &e2) const
virtual void SimultaneousExponentiate (Element *results, const Element &, const Integer *exponents, unsigned int exponentsCount) const
virtual const AbstractGroup & MultiplicativeGroup () const
- Public Member Functions inherited from TaoCrypt::AbstractGroup
virtual bool InversionIsFast () const
virtual Element ScalarMultiply (const Element &a, const Integer &e) const
virtual Element CascadeScalarMultiply (const Element &x, const Integer &e1, const Element &y, const Integer &e2) const
virtual void SimultaneousMultiply (Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const

Additional Inherited Members

- Protected Attributes inherited from TaoCrypt::AbstractEuclideanDomain
Element result

Detailed Description

Definition at line 162 of file algebra.hpp.

The documentation for this class was generated from the following file: